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230420040 = 233517112951
BaseRepresentation
bin11011011101111…
…10111001001000
3121001120112212120
431232332321020
5432441420130
634510411240
75465352354
oct1556767110
9531515776
10230420040
1110907aa94
1265200b20
1338978526
1422860464
1515367910
hexdbbee48

230420040 has 64 divisors (see below), whose sum is σ = 731928960. Its totient is φ = 57830400.

The previous prime is 230420039. The next prime is 230420081. The reversal of 230420040 is 40024032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54436 + ... + 58515.

It is an arithmetic number, because the mean of its divisors is an integer number (11436390).

Almost surely, 2230420040 is an apocalyptic number.

230420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230420040 is an abundant number, since it is smaller than the sum of its proper divisors (501508920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230420040 is a wasteful number, since it uses less digits than its factorization.

230420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112982 (or 112978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230420040 is about 15179.5928799161. The cubic root of 230420040 is about 613.0653195211.

Adding to 230420040 its reverse (40024032), we get a palindrome (270444072).

The spelling of 230420040 in words is "two hundred thirty million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 112951 225902 338853 451804 564755 677706 903608 1129510 1355412 1694265 1920167 2259020 2710824 3388530 3840334 4518040 5760501 6777060 7680668 9600835 11521002 13554120 15361336 19201670 23042004 28802505 38403340 46084008 57605010 76806680 115210020 230420040